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Simplifying (4x2 + -2x + 6) + -1(-1x2 + -11x + 6) = 0 Reorder the terms: (6 + -2x + 4x2) + -1(-1x2 + -11x + 6) = 0 Remove parenthesis around (6 + -2x + 4x2) 6 + -2x + 4x2 + -1(-1x2 + -11x + 6) = 0 Reorder the terms: 6 + -2x + 4x2 + -1(6 + -11x + -1x2) = 0 6 + -2x + 4x2 + (6 * -1 + -11x * -1 + -1x2 * -1) = 0 6 + -2x + 4x2 + (-6 + 11x + 1x2) = 0 Reorder the terms: 6 + -6 + -2x + 11x + 4x2 + 1x2 = 0 Combine like terms: 6 + -6 = 0 0 + -2x + 11x + 4x2 + 1x2 = 0 -2x + 11x + 4x2 + 1x2 = 0 Combine like terms: -2x + 11x = 9x 9x + 4x2 + 1x2 = 0 Combine like terms: 4x2 + 1x2 = 5x2 9x + 5x2 = 0 Solving 9x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + 5x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(9 + 5x)' equal to zero and attempt to solve: Simplifying 9 + 5x = 0 Solving 9 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 0 + -9 5x = 0 + -9 Combine like terms: 0 + -9 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8Solution
x = {0, -1.8}
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